Question

If sec theta+tan theta=p, then what is the value of sec theta - tan theta ?​

Answer 1

sec (theta) - tan (theta) = 1/p .

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Answer 2

Answer:

Step-by-step explanation:

It is given that ,

Sec Ф + tan Ф = p

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By Trigonometric identity :

Sec²Ф - tan²Ф = 1

Algebraic identity :

a² - b² = ( a + b )( a - b )

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Sec² Ф - tan²Ф = 1

( SecФ + tanФ )( secФ - tanФ ) = 1

p × ( secФ- tanФ ) = 1     [Value of secФ+tanФ = p]

SecФ - tanФ = 1/p